摘要
针对基于泛函集成理论并以通用膜厚方程系数为优化变量,以最大承载力为优化目标得到的圆轴承和非圆轴承进行动力特性及稳定性研究。采用有限差分法Matlab编程求解动态扰动压力的雷诺方程,分别计算基于通用膜厚方程的圆轴承和非圆轴承动力特性系数,采用数值分析方法研究二者的稳定性。同时运用通用有限元软件ANSYS对转子系统进行动力学模态分析,得到固有频率和临界转速。研究结果表明:无量纲承载力在0.619 0之前非圆轴承稳定性更好,在此之后圆轴承稳定性更好。最大承载力状态下,圆轴承的临界转速大于非圆轴承的临界转速。因此,以泛函集成理论为基础的轴承形状优化应该在保证一定承载力的条件下,以稳定性为优化目标,寻求性能更优的轴承。
This paper is concerned with the research of dynamic characteristics and stability of the circle and non-circle bearings, which were optimized by taking coefficients of the general film thickness as optimization variables and the maximum load capacity as the optimization objective basing on functional integration theory. Reynolds equation of perturbation pressure was solved by Matlab codes based on the method of finite difference. The coefficients of dynamic characteristics based on general profiles of journal bearings were calculated. Dynamic modal analysis of rotor system with these bearings was done by using ANSYS, and the nature frequency and the critical speed were worked out. Results show： when the dimensionless load capacity is smaller than 0.619 0, non-circle bearing is better than circle one in stability. Under the condition of maximum load capacity,the critical speed of the circle one is better than the non-circle one. Therefore, the study on bearing shape optimization based on the functional integration theory should be further improved by considering the influence of stability to the hydrodynamic journal bearing.
出处
《机械设计》
CSCD
北大核心
2014年第7期59-64,共6页
Journal of Machine Design
基金
国家自然科学基金资助项目(51005257)
